GCD of 280, 250, 68, 824 Calculator

Given Input numbers are 280, 250, 68, 824

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 280

List of positive integer divisors of 280 that divides 280 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

Divisors of 250

List of positive integer divisors of 250 that divides 250 without a remainder.

1, 2, 5, 10, 25, 50, 125, 250

Divisors of 68

List of positive integer divisors of 68 that divides 68 without a remainder.

1, 2, 4, 17, 34, 68

Divisors of 824

List of positive integer divisors of 824 that divides 824 without a remainder.

1, 2, 4, 8, 103, 206, 412, 824

Greatest Common Divisior

We found the divisors of 280, 250, 68, 824 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 280, 250, 68, 824 is 2.

Therefore, GCD of numbers 280, 250, 68, 824 is 2

Given Input Data is 280, 250, 68, 824

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 280 is 2 x 2 x 2 x 5 x 7

Prime Factorization of 250 is 2 x 5 x 5 x 5

Prime Factorization of 68 is 2 x 2 x 17

Prime Factorization of 824 is 2 x 2 x 2 x 103

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(280, 250) = 7000

GCD(280, 250) = ( 280 x 250 ) / 7000

GCD(280, 250) = 70000 / 7000

GCD(280, 250) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 68

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(10, 68) = 340

GCD(10, 68) = ( 10 x 68 ) / 340

GCD(10, 68) = 680 / 340

GCD(10, 68) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 824

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(2, 824) = 824

GCD(2, 824) = ( 2 x 824 ) / 824

GCD(2, 824) = 1648 / 824

GCD(2, 824) = 2

GCD of 280, 250, 68, 824 is 2

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1. What is the GCD of 280, 250, 68, 824?

GCD of 280, 250, 68, 824 is 2

2. Where do I get the detailed procedure to find GCD of 280, 250, 68, 824?

You can find a detailed procedure to find GCD of 280, 250, 68, 824 on our page.

3. How to find GCD of 280, 250, 68, 824 on a calculator?

You can find the GCD of 280, 250, 68, 824 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.